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Finding the Fourth Proportional to 565,662,709.53, 780,172,310.88 and 367,488,055.80

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Solution

The fourth proportional to 565,662,709.53, 780,172,310.88 and 367,488,055.80 is: 506,846,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,662,709.53 : 780,172,310.88 = 367,488,055.80 : x
  2. Step 2: Convert to fraction form
    565,662,709.53/780,172,310.88 = 367,488,055.80/x
  3. Step 3: Cross multiply
    565,662,709.53x = 780,172,310.88 × 367,488,055.80
  4. Step 4: Simplify right side
    565,662,709.53x = 286,704,005,714,284,384
  5. Step 5: Solve for x
    x = 286,704,005,714,284,384/565,662,709.53
  6. Step 6: Final answer
    x = 506,846,219.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.